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Finding the Fourth Proportional to 6,963.84, 10,507.86 and 6,693.84

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Solution

The fourth proportional to 6,963.84, 10,507.86 and 6,693.84 is: 10,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.84 : 10,507.86 = 6,693.84 : x
  2. Step 2: Convert to fraction form
    6,963.84/10,507.86 = 6,693.84/x
  3. Step 3: Cross multiply
    6,963.84x = 10,507.86 × 6,693.84
  4. Step 4: Simplify right side
    6,963.84x = 70,337,933.58
  5. Step 5: Solve for x
    x = 70,337,933.58/6,963.84
  6. Step 6: Final answer
    x = 10,100.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.